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Finding the Fourth Proportional to 1,111.05, 1,664.33 and 525.24

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Solution

The fourth proportional to 1,111.05, 1,664.33 and 525.24 is: 786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.05 : 1,664.33 = 525.24 : x
  2. Step 2: Convert to fraction form
    1,111.05/1,664.33 = 525.24/x
  3. Step 3: Cross multiply
    1,111.05x = 1,664.33 × 525.24
  4. Step 4: Simplify right side
    1,111.05x = 874,170.06
  5. Step 5: Solve for x
    x = 874,170.06/1,111.05
  6. Step 6: Final answer
    x = 786.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.